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Computing data for Levin-Wen with defects

delete2020-06-04
delete15
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OA
AI
J
Jacob C. Bridgeman *
D
Daniel Barter
DOI:10.22331/q-2020-06-04-277delete
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摘要

摘要

En 中文
We demonstrate how to do many computations for doubled topological phases with defects. These defects may be 1-dimensional domain walls or 0-dimensional point defects. Using Vec(S-3) as a guiding example, we demonstrate how domain wall fusion and associators can be computed using generalized tube algebra techniques. These domain walls can be both between distinct or identical phases. Additionally, we show how to compute all possible point defects, and the fusion and associator data of these. Worked examples, tabulated data and Mathematica code are provided.
Keyword:
QUANTUM
CATEGORIES
BOUNDARIES
ANYONS

期刊

Quantum 封面图
Quantum
IF:
5.4
论文数:
951
被引数:
1.0W

机构

A
Australian National University
学者数:
2.1W
论文数: 2.3W
被引数: 3.9W
P
Perimeter Institute for Theoretical Physics
学者数:
1.3K
论文数: 1.6K
被引数: 5
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